The Hammers are said to be looking at recouping some money with Felipe Anderson expected to arrive next, taking their spending to £90 million, and the East London club are reportedly willing to sell Antonio.
The former Nottingham Forest winger was a big hit at the club during Slaven Bilic’s reign, but towards the back-end of last season he struggled to nail down a regular starting spot after falling out of favour.
Now, with the impending arrival of Anderson added to the inclusion of Ukraine international Andriy Yarmolenko, Antonio will likely find himself surplus to requirements and heading for a London Stadium exit.
Palace are themselves looking to bolster their ranks this summer, but they may see Antonio as an ideal replacement for Andros Townsend who has been heavily linked with a return to Newcastle United.
The Magpies were said to be in talks with Palace over a deal for Townsend, according to The Sun, but any potential deal for the England winger may depend on selling Matt Ritchie to Championship side Stoke City.
Antonio has scored or made 32 goals in 90 games since joining the Hammers from Forest three years ago, and at 28 you would assume he still has the best part of his career ahead of him.